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Finding the Third Proportional to 364,664 and 552,028

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Solution

The third proportional to 364,664 and 552,028 is: 835,659.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,664 : 552,028 = 552,028 : x
  2. Step 2: Convert to fraction form
    364,664/552,028 = 552,028/x
  3. Step 3: Cross multiply
    364,664x = 552,028 × 552,028
  4. Step 4: Simplify right side
    364,664x = 304,734,912,784
  5. Step 5: Solve for x
    x = 304,734,912,784/364,664
  6. Step 6: Final answer
    x = 835,659.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.